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Finding the Fourth Proportional to 6,354.42, 8,766.57 and 3,962.98

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Solution

The fourth proportional to 6,354.42, 8,766.57 and 3,962.98 is: 5,467.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.42 : 8,766.57 = 3,962.98 : x
  2. Step 2: Convert to fraction form
    6,354.42/8,766.57 = 3,962.98/x
  3. Step 3: Cross multiply
    6,354.42x = 8,766.57 × 3,962.98
  4. Step 4: Simplify right side
    6,354.42x = 34,741,741.58
  5. Step 5: Solve for x
    x = 34,741,741.58/6,354.42
  6. Step 6: Final answer
    x = 5,467.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.